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163137032 = 23172411721
BaseRepresentation
bin10011011100101…
…00011000001000
3102100222012221022
421232110120020
5313230341112
624104332012
74020433112
oct1156243010
9370865838
10163137032
11840a52a3
1246774008
1327a4b5b6
14179483b2
15e4c6d72
hex9b94608

163137032 has 48 divisors (see below), whose sum is σ = 333052020. Its totient is φ = 74854400.

The previous prime is 163137011. The next prime is 163137043. The reversal of 163137032 is 230731361.

It can be written as a sum of positive squares in 6 ways, for example, as 103754596 + 59382436 = 10186^2 + 7706^2 .

It is a super-2 number, since 2×1631370322 = 53227382419538048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 163136992 and 163137010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93932 + ... + 95652.

Almost surely, 2163137032 is an apocalyptic number.

It is an amenable number.

163137032 is an abundant number, since it is smaller than the sum of its proper divisors (169914988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

163137032 is a wasteful number, since it uses less digits than its factorization.

163137032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 26.

The square root of 163137032 is about 12772.5107946715. The cubic root of 163137032 is about 546.4085909214.

Adding to 163137032 its reverse (230731361), we get a palindrome (393868393).

The spelling of 163137032 in words is "one hundred sixty-three million, one hundred thirty-seven thousand, thirty-two".

Divisors: 1 2 4 8 17 34 41 68 82 136 164 289 328 578 697 1156 1394 1721 2312 2788 3442 5576 6884 11849 13768 23698 29257 47396 58514 70561 94792 117028 141122 234056 282244 497369 564488 994738 1199537 1989476 2399074 3978952 4798148 9596296 20392129 40784258 81568516 163137032